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Finding the Third Proportional to 9,648.56 and 14,432.34

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Solution

The third proportional to 9,648.56 and 14,432.34 is: 21,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.56 : 14,432.34 = 14,432.34 : x
  2. Step 2: Convert to fraction form
    9,648.56/14,432.34 = 14,432.34/x
  3. Step 3: Cross multiply
    9,648.56x = 14,432.34 × 14,432.34
  4. Step 4: Simplify right side
    9,648.56x = 208,292,546.12
  5. Step 5: Solve for x
    x = 208,292,546.12/9,648.56
  6. Step 6: Final answer
    x = 21,587.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.